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Finding the Third Proportional to 50,303.25 and 82,849.50

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Solution

The third proportional to 50,303.25 and 82,849.50 is: 136,453.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,303.25 : 82,849.50 = 82,849.50 : x
  2. Step 2: Convert to fraction form
    50,303.25/82,849.50 = 82,849.50/x
  3. Step 3: Cross multiply
    50,303.25x = 82,849.50 × 82,849.50
  4. Step 4: Simplify right side
    50,303.25x = 6,864,039,650.25
  5. Step 5: Solve for x
    x = 6,864,039,650.25/50,303.25
  6. Step 6: Final answer
    x = 136,453.20

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.